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Finding the Fourth Proportional to 409,574.64, 565,215.80 and 228,298.24

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Solution

The fourth proportional to 409,574.64, 565,215.80 and 228,298.24 is: 315,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,574.64 : 565,215.80 = 228,298.24 : x
  2. Step 2: Convert to fraction form
    409,574.64/565,215.80 = 228,298.24/x
  3. Step 3: Cross multiply
    409,574.64x = 565,215.80 × 228,298.24
  4. Step 4: Simplify right side
    409,574.64x = 129,037,772,360.19
  5. Step 5: Solve for x
    x = 129,037,772,360.19/409,574.64
  6. Step 6: Final answer
    x = 315,053.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.