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Finding the Fourth Proportional to 423,646.16, 585,011.43 and 316,029.35

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Solution

The fourth proportional to 423,646.16, 585,011.43 and 316,029.35 is: 436,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,646.16 : 585,011.43 = 316,029.35 : x
  2. Step 2: Convert to fraction form
    423,646.16/585,011.43 = 316,029.35/x
  3. Step 3: Cross multiply
    423,646.16x = 585,011.43 × 316,029.35
  4. Step 4: Simplify right side
    423,646.16x = 184,880,783,428.00
  5. Step 5: Solve for x
    x = 184,880,783,428.00/423,646.16
  6. Step 6: Final answer
    x = 436,403.78

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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.