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Finding the Fourth Proportional to 402,013.80, 602,145.90 and 243,966.60

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Solution

The fourth proportional to 402,013.80, 602,145.90 and 243,966.60 is: 365,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,013.80 : 602,145.90 = 243,966.60 : x
  2. Step 2: Convert to fraction form
    402,013.80/602,145.90 = 243,966.60/x
  3. Step 3: Cross multiply
    402,013.80x = 602,145.90 × 243,966.60
  4. Step 4: Simplify right side
    402,013.80x = 146,903,487,926.94
  5. Step 5: Solve for x
    x = 146,903,487,926.94/402,013.80
  6. Step 6: Final answer
    x = 365,419.02

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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.