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Finding the Fourth Proportional to 559,643, 772,312.81 and 304,999.66

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Solution

The fourth proportional to 559,643, 772,312.81 and 304,999.66 is: 420,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,643 : 772,312.81 = 304,999.66 : x
  2. Step 2: Convert to fraction form
    559,643/772,312.81 = 304,999.66/x
  3. Step 3: Cross multiply
    559,643x = 772,312.81 × 304,999.66
  4. Step 4: Simplify right side
    559,643x = 235,555,140,602.08
  5. Step 5: Solve for x
    x = 235,555,140,602.08/559,643
  6. Step 6: Final answer
    x = 420,902.50

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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.