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Finding the Fourth Proportional to 478,127.16, 659,827.30 and 260,347.77

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Solution

The fourth proportional to 478,127.16, 659,827.30 and 260,347.77 is: 359,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,127.16 : 659,827.30 = 260,347.77 : x
  2. Step 2: Convert to fraction form
    478,127.16/659,827.30 = 260,347.77/x
  3. Step 3: Cross multiply
    478,127.16x = 659,827.30 × 260,347.77
  4. Step 4: Simplify right side
    478,127.16x = 171,784,561,539.25
  5. Step 5: Solve for x
    x = 171,784,561,539.25/478,127.16
  6. Step 6: Final answer
    x = 359,286.35

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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.