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Finding the Fourth Proportional to 407,376, 562,178.88 and 228,528

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Solution

The fourth proportional to 407,376, 562,178.88 and 228,528 is: 315,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,376 : 562,178.88 = 228,528 : x
  2. Step 2: Convert to fraction form
    407,376/562,178.88 = 228,528/x
  3. Step 3: Cross multiply
    407,376x = 562,178.88 × 228,528
  4. Step 4: Simplify right side
    407,376x = 128,473,615,088.64
  5. Step 5: Solve for x
    x = 128,473,615,088.64/407,376
  6. Step 6: Final answer
    x = 315,368.64

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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.