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Finding the Fourth Proportional to 388,978.40, 583,237.20 and 202,354.40

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Solution

The fourth proportional to 388,978.40, 583,237.20 and 202,354.40 is: 303,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,978.40 : 583,237.20 = 202,354.40 : x
  2. Step 2: Convert to fraction form
    388,978.40/583,237.20 = 202,354.40/x
  3. Step 3: Cross multiply
    388,978.40x = 583,237.20 × 202,354.40
  4. Step 4: Simplify right side
    388,978.40x = 118,020,613,663.68
  5. Step 5: Solve for x
    x = 118,020,613,663.68/388,978.40
  6. Step 6: Final answer
    x = 303,411.74

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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.