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Finding the Fourth Proportional to 389,953.60, 584,930.40 and 319,094.80

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Solution

The fourth proportional to 389,953.60, 584,930.40 and 319,094.80 is: 478,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,953.60 : 584,930.40 = 319,094.80 : x
  2. Step 2: Convert to fraction form
    389,953.60/584,930.40 = 319,094.80/x
  3. Step 3: Cross multiply
    389,953.60x = 584,930.40 × 319,094.80
  4. Step 4: Simplify right side
    389,953.60x = 186,648,249,001.92
  5. Step 5: Solve for x
    x = 186,648,249,001.92/389,953.60
  6. Step 6: Final answer
    x = 478,642.20

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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.