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Finding the Fourth Proportional to 461,762,923.20, 692,644,384.80 and 420,108,446.40

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Solution

The fourth proportional to 461,762,923.20, 692,644,384.80 and 420,108,446.40 is: 630,162,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,762,923.20 : 692,644,384.80 = 420,108,446.40 : x
  2. Step 2: Convert to fraction form
    461,762,923.20/692,644,384.80 = 420,108,446.40/x
  3. Step 3: Cross multiply
    461,762,923.20x = 692,644,384.80 × 420,108,446.40
  4. Step 4: Simplify right side
    461,762,923.20x = 290,985,756,406,011,712
  5. Step 5: Solve for x
    x = 290,985,756,406,011,712/461,762,923.20
  6. Step 6: Final answer
    x = 630,162,669.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.