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Finding the Fourth Proportional to 553,402.40, 830,492.40 and 238,085.60

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Solution

The fourth proportional to 553,402.40, 830,492.40 and 238,085.60 is: 357,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,402.40 : 830,492.40 = 238,085.60 : x
  2. Step 2: Convert to fraction form
    553,402.40/830,492.40 = 238,085.60/x
  3. Step 3: Cross multiply
    553,402.40x = 830,492.40 × 238,085.60
  4. Step 4: Simplify right side
    553,402.40x = 197,728,281,349.44
  5. Step 5: Solve for x
    x = 197,728,281,349.44/553,402.40
  6. Step 6: Final answer
    x = 357,295.67

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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.