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Finding the Fourth Proportional to 369,705.93, 510,217.81 and 208,502.16

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Solution

The fourth proportional to 369,705.93, 510,217.81 and 208,502.16 is: 287,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,705.93 : 510,217.81 = 208,502.16 : x
  2. Step 2: Convert to fraction form
    369,705.93/510,217.81 = 208,502.16/x
  3. Step 3: Cross multiply
    369,705.93x = 510,217.81 × 208,502.16
  4. Step 4: Simplify right side
    369,705.93x = 106,381,515,455.47
  5. Step 5: Solve for x
    x = 106,381,515,455.47/369,705.93
  6. Step 6: Final answer
    x = 287,746.31

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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.