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Finding the Fourth Proportional to 656,437.80, 984,656.70 and 420,047.40

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Solution

The fourth proportional to 656,437.80, 984,656.70 and 420,047.40 is: 630,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,437.80 : 984,656.70 = 420,047.40 : x
  2. Step 2: Convert to fraction form
    656,437.80/984,656.70 = 420,047.40/x
  3. Step 3: Cross multiply
    656,437.80x = 984,656.70 × 420,047.40
  4. Step 4: Simplify right side
    656,437.80x = 413,602,486,727.58
  5. Step 5: Solve for x
    x = 413,602,486,727.58/656,437.80
  6. Step 6: Final answer
    x = 630,071.10

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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.