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Finding the Fourth Proportional to 420,314.68, 580,036.14 and 229,332.08

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Solution

The fourth proportional to 420,314.68, 580,036.14 and 229,332.08 is: 316,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,314.68 : 580,036.14 = 229,332.08 : x
  2. Step 2: Convert to fraction form
    420,314.68/580,036.14 = 229,332.08/x
  3. Step 3: Cross multiply
    420,314.68x = 580,036.14 × 229,332.08
  4. Step 4: Simplify right side
    420,314.68x = 133,020,894,461.37
  5. Step 5: Solve for x
    x = 133,020,894,461.37/420,314.68
  6. Step 6: Final answer
    x = 316,479.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.