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Finding the Fourth Proportional to 514,082.19, 709,210.06 and 310,019.71

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Solution

The fourth proportional to 514,082.19, 709,210.06 and 310,019.71 is: 427,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,082.19 : 709,210.06 = 310,019.71 : x
  2. Step 2: Convert to fraction form
    514,082.19/709,210.06 = 310,019.71/x
  3. Step 3: Cross multiply
    514,082.19x = 709,210.06 × 310,019.71
  4. Step 4: Simplify right side
    514,082.19x = 219,869,097,130.28
  5. Step 5: Solve for x
    x = 219,869,097,130.28/514,082.19
  6. Step 6: Final answer
    x = 427,692.50

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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.