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Finding the Fourth Proportional to 557,083.27, 768,783.84 and 302,434.25

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Solution

The fourth proportional to 557,083.27, 768,783.84 and 302,434.25 is: 417,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,083.27 : 768,783.84 = 302,434.25 : x
  2. Step 2: Convert to fraction form
    557,083.27/768,783.84 = 302,434.25/x
  3. Step 3: Cross multiply
    557,083.27x = 768,783.84 × 302,434.25
  4. Step 4: Simplify right side
    557,083.27x = 232,506,564,062.52
  5. Step 5: Solve for x
    x = 232,506,564,062.52/557,083.27
  6. Step 6: Final answer
    x = 417,364.12

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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.