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Finding the Fourth Proportional to 495,957.62, 684,547.05 and 305,141.87

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Solution

The fourth proportional to 495,957.62, 684,547.05 and 305,141.87 is: 421,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,957.62 : 684,547.05 = 305,141.87 : x
  2. Step 2: Convert to fraction form
    495,957.62/684,547.05 = 305,141.87/x
  3. Step 3: Cross multiply
    495,957.62x = 684,547.05 × 305,141.87
  4. Step 4: Simplify right side
    495,957.62x = 208,883,963,517.25
  5. Step 5: Solve for x
    x = 208,883,963,517.25/495,957.62
  6. Step 6: Final answer
    x = 421,173.01

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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.