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Finding the Fourth Proportional to 286,547.60, 429,821.40 and 257,023.10

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Solution

The fourth proportional to 286,547.60, 429,821.40 and 257,023.10 is: 385,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,547.60 : 429,821.40 = 257,023.10 : x
  2. Step 2: Convert to fraction form
    286,547.60/429,821.40 = 257,023.10/x
  3. Step 3: Cross multiply
    286,547.60x = 429,821.40 × 257,023.10
  4. Step 4: Simplify right side
    286,547.60x = 110,474,028,674.34
  5. Step 5: Solve for x
    x = 110,474,028,674.34/286,547.60
  6. Step 6: Final answer
    x = 385,534.65

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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.