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Finding the Fourth Proportional to 407,711.60, 611,567.40 and 390,434.30

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Solution

The fourth proportional to 407,711.60, 611,567.40 and 390,434.30 is: 585,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,711.60 : 611,567.40 = 390,434.30 : x
  2. Step 2: Convert to fraction form
    407,711.60/611,567.40 = 390,434.30/x
  3. Step 3: Cross multiply
    407,711.60x = 611,567.40 × 390,434.30
  4. Step 4: Simplify right side
    407,711.60x = 238,776,889,721.82
  5. Step 5: Solve for x
    x = 238,776,889,721.82/407,711.60
  6. Step 6: Final answer
    x = 585,651.45

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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.