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Finding the Fourth Proportional to 496,009.84, 684,547.02 and 281,126.80

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Solution

The fourth proportional to 496,009.84, 684,547.02 and 281,126.80 is: 387,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,009.84 : 684,547.02 = 281,126.80 : x
  2. Step 2: Convert to fraction form
    496,009.84/684,547.02 = 281,126.80/x
  3. Step 3: Cross multiply
    496,009.84x = 684,547.02 × 281,126.80
  4. Step 4: Simplify right side
    496,009.84x = 192,444,513,182.14
  5. Step 5: Solve for x
    x = 192,444,513,182.14/496,009.84
  6. Step 6: Final answer
    x = 387,985.27

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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.