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Finding the Fourth Proportional to 456,123.60, 683,407.80 and 376,808.40

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Solution

The fourth proportional to 456,123.60, 683,407.80 and 376,808.40 is: 564,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,123.60 : 683,407.80 = 376,808.40 : x
  2. Step 2: Convert to fraction form
    456,123.60/683,407.80 = 376,808.40/x
  3. Step 3: Cross multiply
    456,123.60x = 683,407.80 × 376,808.40
  4. Step 4: Simplify right side
    456,123.60x = 257,513,799,665.52
  5. Step 5: Solve for x
    x = 257,513,799,665.52/456,123.60
  6. Step 6: Final answer
    x = 564,570.22

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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.