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Finding the Fourth Proportional to 385,701.48, 578,335.56 and 264,259.08

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Solution

The fourth proportional to 385,701.48, 578,335.56 and 264,259.08 is: 396,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,701.48 : 578,335.56 = 264,259.08 : x
  2. Step 2: Convert to fraction form
    385,701.48/578,335.56 = 264,259.08/x
  3. Step 3: Cross multiply
    385,701.48x = 578,335.56 × 264,259.08
  4. Step 4: Simplify right side
    385,701.48x = 152,830,423,016.89
  5. Step 5: Solve for x
    x = 152,830,423,016.89/385,701.48
  6. Step 6: Final answer
    x = 396,240.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.