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Finding the Fourth Proportional to 388,875, 583,312.50 and 126,219

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Solution

The fourth proportional to 388,875, 583,312.50 and 126,219 is: 189,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,875 : 583,312.50 = 126,219 : x
  2. Step 2: Convert to fraction form
    388,875/583,312.50 = 126,219/x
  3. Step 3: Cross multiply
    388,875x = 583,312.50 × 126,219
  4. Step 4: Simplify right side
    388,875x = 73,625,120,437.50
  5. Step 5: Solve for x
    x = 73,625,120,437.50/388,875
  6. Step 6: Final answer
    x = 189,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.