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Finding the Fourth Proportional to 228,641.68, 314,830.20 and 202,776.40

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Solution

The fourth proportional to 228,641.68, 314,830.20 and 202,776.40 is: 279,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,641.68 : 314,830.20 = 202,776.40 : x
  2. Step 2: Convert to fraction form
    228,641.68/314,830.20 = 202,776.40/x
  3. Step 3: Cross multiply
    228,641.68x = 314,830.20 × 202,776.40
  4. Step 4: Simplify right side
    228,641.68x = 63,840,134,567.28
  5. Step 5: Solve for x
    x = 63,840,134,567.28/228,641.68
  6. Step 6: Final answer
    x = 279,214.77

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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.