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Finding the Fourth Proportional to 583,342.50, 805,013.19 and 315,070.50

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Solution

The fourth proportional to 583,342.50, 805,013.19 and 315,070.50 is: 434,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,342.50 : 805,013.19 = 315,070.50 : x
  2. Step 2: Convert to fraction form
    583,342.50/805,013.19 = 315,070.50/x
  3. Step 3: Cross multiply
    583,342.50x = 805,013.19 × 315,070.50
  4. Step 4: Simplify right side
    583,342.50x = 253,635,908,279.90
  5. Step 5: Solve for x
    x = 253,635,908,279.90/583,342.50
  6. Step 6: Final answer
    x = 434,797.58

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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.