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Finding the Fourth Proportional to 313,444,913.20, 470,167,369.80 and 83,437,248.40

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Solution

The fourth proportional to 313,444,913.20, 470,167,369.80 and 83,437,248.40 is: 125,155,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,444,913.20 : 470,167,369.80 = 83,437,248.40 : x
  2. Step 2: Convert to fraction form
    313,444,913.20/470,167,369.80 = 83,437,248.40/x
  3. Step 3: Cross multiply
    313,444,913.20x = 470,167,369.80 × 83,437,248.40
  4. Step 4: Simplify right side
    313,444,913.20x = 39,229,471,623,577,264
  5. Step 5: Solve for x
    x = 39,229,471,623,577,264/313,444,913.20
  6. Step 6: Final answer
    x = 125,155,872.60

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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.