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Finding the Fourth Proportional to 286,744.64, 429,533.76 and 144,502.16

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Solution

The fourth proportional to 286,744.64, 429,533.76 and 144,502.16 is: 216,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,744.64 : 429,533.76 = 144,502.16 : x
  2. Step 2: Convert to fraction form
    286,744.64/429,533.76 = 144,502.16/x
  3. Step 3: Cross multiply
    286,744.64x = 429,533.76 × 144,502.16
  4. Step 4: Simplify right side
    286,744.64x = 62,068,556,112.92
  5. Step 5: Solve for x
    x = 62,068,556,112.92/286,744.64
  6. Step 6: Final answer
    x = 216,459.34

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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.