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Finding the Fourth Proportional to 612,747.90, 918,137.70 and 402,139.80

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Solution

The fourth proportional to 612,747.90, 918,137.70 and 402,139.80 is: 602,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,747.90 : 918,137.70 = 402,139.80 : x
  2. Step 2: Convert to fraction form
    612,747.90/918,137.70 = 402,139.80/x
  3. Step 3: Cross multiply
    612,747.90x = 918,137.70 × 402,139.80
  4. Step 4: Simplify right side
    612,747.90x = 369,219,711,050.46
  5. Step 5: Solve for x
    x = 369,219,711,050.46/612,747.90
  6. Step 6: Final answer
    x = 602,563.81

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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.