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Finding the Fourth Proportional to 286,296.54, 429,389.40 and 86,570.10

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Solution

The fourth proportional to 286,296.54, 429,389.40 and 86,570.10 is: 129,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,296.54 : 429,389.40 = 86,570.10 : x
  2. Step 2: Convert to fraction form
    286,296.54/429,389.40 = 86,570.10/x
  3. Step 3: Cross multiply
    286,296.54x = 429,389.40 × 86,570.10
  4. Step 4: Simplify right side
    286,296.54x = 37,172,283,296.94
  5. Step 5: Solve for x
    x = 37,172,283,296.94/286,296.54
  6. Step 6: Final answer
    x = 129,838.40

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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.