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Finding the Fourth Proportional to 389,340.60, 583,967.70 and 319,097.40

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Solution

The fourth proportional to 389,340.60, 583,967.70 and 319,097.40 is: 478,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,340.60 : 583,967.70 = 319,097.40 : x
  2. Step 2: Convert to fraction form
    389,340.60/583,967.70 = 319,097.40/x
  3. Step 3: Cross multiply
    389,340.60x = 583,967.70 × 319,097.40
  4. Step 4: Simplify right side
    389,340.60x = 186,342,574,753.98
  5. Step 5: Solve for x
    x = 186,342,574,753.98/389,340.60
  6. Step 6: Final answer
    x = 478,610.69

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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.