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Finding the Fourth Proportional to 435,657.30, 653,485.95 and 286,358.10

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Solution

The fourth proportional to 435,657.30, 653,485.95 and 286,358.10 is: 429,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,657.30 : 653,485.95 = 286,358.10 : x
  2. Step 2: Convert to fraction form
    435,657.30/653,485.95 = 286,358.10/x
  3. Step 3: Cross multiply
    435,657.30x = 653,485.95 × 286,358.10
  4. Step 4: Simplify right side
    435,657.30x = 187,130,995,018.70
  5. Step 5: Solve for x
    x = 187,130,995,018.70/435,657.30
  6. Step 6: Final answer
    x = 429,537.15

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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.