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Finding the Fourth Proportional to 385,430.32, 577,813.24 and 148,938.94

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Solution

The fourth proportional to 385,430.32, 577,813.24 and 148,938.94 is: 223,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,430.32 : 577,813.24 = 148,938.94 : x
  2. Step 2: Convert to fraction form
    385,430.32/577,813.24 = 148,938.94/x
  3. Step 3: Cross multiply
    385,430.32x = 577,813.24 × 148,938.94
  4. Step 4: Simplify right side
    385,430.32x = 86,058,891,483.57
  5. Step 5: Solve for x
    x = 86,058,891,483.57/385,430.32
  6. Step 6: Final answer
    x = 223,280.02

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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.