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Finding the Fourth Proportional to 514,980.74, 710,648.65 and 285,547.35

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Solution

The fourth proportional to 514,980.74, 710,648.65 and 285,547.35 is: 394,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,980.74 : 710,648.65 = 285,547.35 : x
  2. Step 2: Convert to fraction form
    514,980.74/710,648.65 = 285,547.35/x
  3. Step 3: Cross multiply
    514,980.74x = 710,648.65 × 285,547.35
  4. Step 4: Simplify right side
    514,980.74x = 202,923,838,788.58
  5. Step 5: Solve for x
    x = 202,923,838,788.58/514,980.74
  6. Step 6: Final answer
    x = 394,041.61

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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.