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Finding the Fourth Proportional to 713,031.12, 1,069,681.54 and 286,600.16

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Solution

The fourth proportional to 713,031.12, 1,069,681.54 and 286,600.16 is: 429,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,031.12 : 1,069,681.54 = 286,600.16 : x
  2. Step 2: Convert to fraction form
    713,031.12/1,069,681.54 = 286,600.16/x
  3. Step 3: Cross multiply
    713,031.12x = 1,069,681.54 × 286,600.16
  4. Step 4: Simplify right side
    713,031.12x = 306,570,900,513.05
  5. Step 5: Solve for x
    x = 306,570,900,513.05/713,031.12
  6. Step 6: Final answer
    x = 429,954.45

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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.