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Finding the Fourth Proportional to 530,223.84, 731,703.06 and 315,359.16

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Solution

The fourth proportional to 530,223.84, 731,703.06 and 315,359.16 is: 435,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,223.84 : 731,703.06 = 315,359.16 : x
  2. Step 2: Convert to fraction form
    530,223.84/731,703.06 = 315,359.16/x
  3. Step 3: Cross multiply
    530,223.84x = 731,703.06 × 315,359.16
  4. Step 4: Simplify right side
    530,223.84x = 230,749,262,371.03
  5. Step 5: Solve for x
    x = 230,749,262,371.03/530,223.84
  6. Step 6: Final answer
    x = 435,192.17

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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.