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Finding the Fourth Proportional to 528,193.95, 728,924.15 and 298,746.74

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Solution

The fourth proportional to 528,193.95, 728,924.15 and 298,746.74 is: 412,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,193.95 : 728,924.15 = 298,746.74 : x
  2. Step 2: Convert to fraction form
    528,193.95/728,924.15 = 298,746.74/x
  3. Step 3: Cross multiply
    528,193.95x = 728,924.15 × 298,746.74
  4. Step 4: Simplify right side
    528,193.95x = 217,763,708,381.42
  5. Step 5: Solve for x
    x = 217,763,708,381.42/528,193.95
  6. Step 6: Final answer
    x = 412,279.82

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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.