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Finding the Fourth Proportional to 458,646.20, 688,034.10 and 143,070.20

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Solution

The fourth proportional to 458,646.20, 688,034.10 and 143,070.20 is: 214,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,646.20 : 688,034.10 = 143,070.20 : x
  2. Step 2: Convert to fraction form
    458,646.20/688,034.10 = 143,070.20/x
  3. Step 3: Cross multiply
    458,646.20x = 688,034.10 × 143,070.20
  4. Step 4: Simplify right side
    458,646.20x = 98,437,176,293.82
  5. Step 5: Solve for x
    x = 98,437,176,293.82/458,646.20
  6. Step 6: Final answer
    x = 214,625.51

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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.