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Finding the Fourth Proportional to 506,764.64, 699,287.52 and 343,088.16

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Solution

The fourth proportional to 506,764.64, 699,287.52 and 343,088.16 is: 473,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,764.64 : 699,287.52 = 343,088.16 : x
  2. Step 2: Convert to fraction form
    506,764.64/699,287.52 = 343,088.16/x
  3. Step 3: Cross multiply
    506,764.64x = 699,287.52 × 343,088.16
  4. Step 4: Simplify right side
    506,764.64x = 239,917,268,547.76
  5. Step 5: Solve for x
    x = 239,917,268,547.76/506,764.64
  6. Step 6: Final answer
    x = 473,429.38

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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.