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Finding the Fourth Proportional to 461,421.29, 692,127.79 and 145,878.30

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Solution

The fourth proportional to 461,421.29, 692,127.79 and 145,878.30 is: 218,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,421.29 : 692,127.79 = 145,878.30 : x
  2. Step 2: Convert to fraction form
    461,421.29/692,127.79 = 145,878.30/x
  3. Step 3: Cross multiply
    461,421.29x = 692,127.79 × 145,878.30
  4. Step 4: Simplify right side
    461,421.29x = 100,966,425,023.26
  5. Step 5: Solve for x
    x = 100,966,425,023.26/461,421.29
  6. Step 6: Final answer
    x = 218,816.14

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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.