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Finding the Fourth Proportional to 286,641.40, 429,962.10 and 86,952.10

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Solution

The fourth proportional to 286,641.40, 429,962.10 and 86,952.10 is: 130,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.40 : 429,962.10 = 86,952.10 : x
  2. Step 2: Convert to fraction form
    286,641.40/429,962.10 = 86,952.10/x
  3. Step 3: Cross multiply
    286,641.40x = 429,962.10 × 86,952.10
  4. Step 4: Simplify right side
    286,641.40x = 37,386,107,515.41
  5. Step 5: Solve for x
    x = 37,386,107,515.41/286,641.40
  6. Step 6: Final answer
    x = 130,428.15

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1.5x scale

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.