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Finding the Fourth Proportional to 519,752, 779,646.40 and 266,964.16

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Solution

The fourth proportional to 519,752, 779,646.40 and 266,964.16 is: 400,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,752 : 779,646.40 = 266,964.16 : x
  2. Step 2: Convert to fraction form
    519,752/779,646.40 = 266,964.16/x
  3. Step 3: Cross multiply
    519,752x = 779,646.40 × 266,964.16
  4. Step 4: Simplify right side
    519,752x = 208,137,646,273.02
  5. Step 5: Solve for x
    x = 208,137,646,273.02/519,752
  6. Step 6: Final answer
    x = 400,455.69

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1.5x scale

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.