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Finding the Fourth Proportional to 460,468.80, 690,703.20 and 394,038.68

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Solution

The fourth proportional to 460,468.80, 690,703.20 and 394,038.68 is: 591,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,468.80 : 690,703.20 = 394,038.68 : x
  2. Step 2: Convert to fraction form
    460,468.80/690,703.20 = 394,038.68/x
  3. Step 3: Cross multiply
    460,468.80x = 690,703.20 × 394,038.68
  4. Step 4: Simplify right side
    460,468.80x = 272,163,773,746.26
  5. Step 5: Solve for x
    x = 272,163,773,746.26/460,468.80
  6. Step 6: Final answer
    x = 591,058.01

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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.