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Finding the Fourth Proportional to 286,561.60, 429,842.40 and 257,037.10

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Solution

The fourth proportional to 286,561.60, 429,842.40 and 257,037.10 is: 385,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,561.60 : 429,842.40 = 257,037.10 : x
  2. Step 2: Convert to fraction form
    286,561.60/429,842.40 = 257,037.10/x
  3. Step 3: Cross multiply
    286,561.60x = 429,842.40 × 257,037.10
  4. Step 4: Simplify right side
    286,561.60x = 110,485,443,953.04
  5. Step 5: Solve for x
    x = 110,485,443,953.04/286,561.60
  6. Step 6: Final answer
    x = 385,555.65

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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.