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Finding the Fourth Proportional to 314,646.30, 471,974.31 and 90,002.52

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Solution

The fourth proportional to 314,646.30, 471,974.31 and 90,002.52 is: 135,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,646.30 : 471,974.31 = 90,002.52 : x
  2. Step 2: Convert to fraction form
    314,646.30/471,974.31 = 90,002.52/x
  3. Step 3: Cross multiply
    314,646.30x = 471,974.31 × 90,002.52
  4. Step 4: Simplify right side
    314,646.30x = 42,478,877,275.26
  5. Step 5: Solve for x
    x = 42,478,877,275.26/314,646.30
  6. Step 6: Final answer
    x = 135,005.17

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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.