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Finding the Fourth Proportional to 385,904.51, 578,547.68 and 183,398.98

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Solution

The fourth proportional to 385,904.51, 578,547.68 and 183,398.98 is: 274,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,904.51 : 578,547.68 = 183,398.98 : x
  2. Step 2: Convert to fraction form
    385,904.51/578,547.68 = 183,398.98/x
  3. Step 3: Cross multiply
    385,904.51x = 578,547.68 × 183,398.98
  4. Step 4: Simplify right side
    385,904.51x = 106,105,053,440.93
  5. Step 5: Solve for x
    x = 106,105,053,440.93/385,904.51
  6. Step 6: Final answer
    x = 274,951.58

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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.