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Finding the Fourth Proportional to 511,948, 706,400.76 and 297,038.80

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Solution

The fourth proportional to 511,948, 706,400.76 and 297,038.80 is: 409,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,948 : 706,400.76 = 297,038.80 : x
  2. Step 2: Convert to fraction form
    511,948/706,400.76 = 297,038.80/x
  3. Step 3: Cross multiply
    511,948x = 706,400.76 × 297,038.80
  4. Step 4: Simplify right side
    511,948x = 209,828,434,069.49
  5. Step 5: Solve for x
    x = 209,828,434,069.49/511,948
  6. Step 6: Final answer
    x = 409,862.79

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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.