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Finding the Fourth Proportional to 610,444.38, 842,310.58 and 406,799.32

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Solution

The fourth proportional to 610,444.38, 842,310.58 and 406,799.32 is: 561,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,444.38 : 842,310.58 = 406,799.32 : x
  2. Step 2: Convert to fraction form
    610,444.38/842,310.58 = 406,799.32/x
  3. Step 3: Cross multiply
    610,444.38x = 842,310.58 × 406,799.32
  4. Step 4: Simplify right side
    610,444.38x = 342,651,371,172.81
  5. Step 5: Solve for x
    x = 342,651,371,172.81/610,444.38
  6. Step 6: Final answer
    x = 561,314.65

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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.