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Finding the Fourth Proportional to 387,508.42, 535,022.40 and 346,545.46

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Solution

The fourth proportional to 387,508.42, 535,022.40 and 346,545.46 is: 478,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,508.42 : 535,022.40 = 346,545.46 : x
  2. Step 2: Convert to fraction form
    387,508.42/535,022.40 = 346,545.46/x
  3. Step 3: Cross multiply
    387,508.42x = 535,022.40 × 346,545.46
  4. Step 4: Simplify right side
    387,508.42x = 185,409,583,718.30
  5. Step 5: Solve for x
    x = 185,409,583,718.30/387,508.42
  6. Step 6: Final answer
    x = 478,465.95

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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.