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Finding the Fourth Proportional to 569,328.16, 785,676 and 311,205.52

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Solution

The fourth proportional to 569,328.16, 785,676 and 311,205.52 is: 429,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,328.16 : 785,676 = 311,205.52 : x
  2. Step 2: Convert to fraction form
    569,328.16/785,676 = 311,205.52/x
  3. Step 3: Cross multiply
    569,328.16x = 785,676 × 311,205.52
  4. Step 4: Simplify right side
    569,328.16x = 244,506,708,131.52
  5. Step 5: Solve for x
    x = 244,506,708,131.52/569,328.16
  6. Step 6: Final answer
    x = 429,465.33

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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.