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Finding the Fourth Proportional to 553,280.40, 830,698.20 and 435,085.20

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Solution

The fourth proportional to 553,280.40, 830,698.20 and 435,085.20 is: 653,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,280.40 : 830,698.20 = 435,085.20 : x
  2. Step 2: Convert to fraction form
    553,280.40/830,698.20 = 435,085.20/x
  3. Step 3: Cross multiply
    553,280.40x = 830,698.20 × 435,085.20
  4. Step 4: Simplify right side
    553,280.40x = 361,424,492,486.64
  5. Step 5: Solve for x
    x = 361,424,492,486.64/553,280.40
  6. Step 6: Final answer
    x = 653,239.28

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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.