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Finding the Fourth Proportional to 511,238.74, 705,510.86 and 307,406.39

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Solution

The fourth proportional to 511,238.74, 705,510.86 and 307,406.39 is: 424,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,238.74 : 705,510.86 = 307,406.39 : x
  2. Step 2: Convert to fraction form
    511,238.74/705,510.86 = 307,406.39/x
  3. Step 3: Cross multiply
    511,238.74x = 705,510.86 × 307,406.39
  4. Step 4: Simplify right side
    511,238.74x = 216,878,547,211.47
  5. Step 5: Solve for x
    x = 216,878,547,211.47/511,238.74
  6. Step 6: Final answer
    x = 424,221.66

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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.