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Finding the Fourth Proportional to 352,875, 529,312.50 and 90,219

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Solution

The fourth proportional to 352,875, 529,312.50 and 90,219 is: 135,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,875 : 529,312.50 = 90,219 : x
  2. Step 2: Convert to fraction form
    352,875/529,312.50 = 90,219/x
  3. Step 3: Cross multiply
    352,875x = 529,312.50 × 90,219
  4. Step 4: Simplify right side
    352,875x = 47,754,044,437.50
  5. Step 5: Solve for x
    x = 47,754,044,437.50/352,875
  6. Step 6: Final answer
    x = 135,328.50

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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.