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Finding the Fourth Proportional to 611,547.84, 916,629.66 and 311,394.39

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Solution

The fourth proportional to 611,547.84, 916,629.66 and 311,394.39 is: 466,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,547.84 : 916,629.66 = 311,394.39 : x
  2. Step 2: Convert to fraction form
    611,547.84/916,629.66 = 311,394.39/x
  3. Step 3: Cross multiply
    611,547.84x = 916,629.66 × 311,394.39
  4. Step 4: Simplify right side
    611,547.84x = 285,433,333,831.61
  5. Step 5: Solve for x
    x = 285,433,333,831.61/611,547.84
  6. Step 6: Final answer
    x = 466,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.