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Finding the Fourth Proportional to 583,554, 805,304.64 and 315,282

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Solution

The fourth proportional to 583,554, 805,304.64 and 315,282 is: 435,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,554 : 805,304.64 = 315,282 : x
  2. Step 2: Convert to fraction form
    583,554/805,304.64 = 315,282/x
  3. Step 3: Cross multiply
    583,554x = 805,304.64 × 315,282
  4. Step 4: Simplify right side
    583,554x = 253,898,057,508.48
  5. Step 5: Solve for x
    x = 253,898,057,508.48/583,554
  6. Step 6: Final answer
    x = 435,089.22

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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.